Question

find the value of a in parallelogram bcde.

d to c is a+22, e to b is 3a.

a =

which terms describe this shape? choose all that apply.

Explanation:

Step1: Recall property of parallelogram

In a parallelogram, opposite sides are equal. So, \( DE = BC \) and \( CD = BE \). From the diagram, \( CD = a + 22 \) and \( BE = 3a \). So we set them equal: \( a + 22 = 3a \).

Step2: Solve for \( a \)

Subtract \( a \) from both sides: \( 22 = 3a - a \), which simplifies to \( 22 = 2a \). Then divide both sides by 2: \( a=\frac{22}{2}=11 \).

Answer:

\( 11 \)